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1.7 Three-Dimensional Figures
Objective:Identify and name three-dimensional figures and find surface area and volume of the figures Describe the polyhedron or solid that can be made from a given net including the Platonic Solids. Extend the study of planar figures to three-dimensions, including the classical solid figures, and develop analysis through cross-sections. Give precise mathematical descriptions or definitions of geometric shapes in the plane and space. , Describe solids and/or surfaces in three-dimensional space when given two-dimensional representations for the surfaces of three-dimensional objects. , Develop and use special formulas relating to polyhedra (e.g., Euler’s Formula).
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Polyhedron Solid with all flat surfaces Named by the Shape of Base
Prism Pyramid Not Polyhedrons Cylinder Cone Sphere Named by the Shape of Base
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Polyhedron
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Is the solid is a polyhedron. Then identify the solid
Is the solid is a polyhedron? Then identify the solid. If it is a polyhedron, name the bases, faces, edges, and vertices. rectangular prism; Bases: rectangles EFHG, ABDC Faces: rectangles FBDH, EACG, GCDH, EFBA, EFHG, ABDC Vertices: A, B, C, D, E, F, G, H
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Determine whether the solid is a polyhedron. Then identify the solid
Determine whether the solid is a polyhedron. Then identify the solid. If it is a polyhedron, name the bases, faces, edges, and vertices hexagonal prism; Bases: hexagon EFGHIJ and hexagon KLMNOP Faces: rectangles EFLK, FGML, GHNM, HNOI, IOPJ, JPKE; hexagons EFGHIJ and KLMNOP Vertices: E, F, G, H, I, J, K, L, M, N, O, P
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Determine whether the solid is a polyhedron. Then identify the solid
Determine whether the solid is a polyhedron. Then identify the solid. If it is a polyhedron, name the bases, faces, edges, and vertices Not a polyhedron
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Regular Polyhedron All sides are regular congruent polygons
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Surface Area and Volume
Slant Height Height
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Example Mike is creating a mailing tube which can be used to mail posters and architectural plans. The diameter of the base is 3 ¾ inches, and the height is 2 2/3 feet. Find the amount of cardboard Mike needs to make the tube. Surface area of a cylinder r = in., h = 32 in. A = 399.1 Answer: Mike needs about square inches of cardboard to make the tube.
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Assignment Block Class Page 71, 6 - 26 even
Extra Credit 1-7 Lab complete problems 1-12, 1 point each on Test
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Assignment Honors Class Page 71, 12 - 28 every 4th, 32,34,38
Complete Lab 1.7 problems 2-12 even
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